Non-Relativistic and Low Mach Number Limits of a Compressible Full MHD-$P1$ Approximate Model Arising in Radiation Magnetohydrodynamics

Abstract

In this paper we study the non-relativistic and low Mach number limits of strong solutions to a full compressible MHD-$P1$ approximate model arising in radiation magnetohydrodynamics. We prove that, as the parameters go to zero, the solutions of the primitive system converge to that of the classical incompressible magnetohydrodynamic equations.